Non-additive exact functors and tensor induction for Mackey functors. Memoirs of the American Mathematical Society; no. 683.

Bouc, Serge:

ISBN 10: 0821819518 / ISBN 13: 9780821819517

Published by Providence, American Mathematical Society, 2000

About this Item

VIII, 74 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04143 9780821819517 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2490373

Bibliographic Details

• Title: Non-additive exact functors and tensor induction for Mackey functors. Memoirs of the American Mathematical Society; no. 683.
• Publisher: Providence, American Mathematical Society
• Publication Date: 2000
• Language: English
• ISBN 10: 0821819518
• ISBN 13: 9780821819517
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.